The diameter of internal and external surfaces of a hollow spherical shell are 6 cm and 10 cm respectively. If it is melted and recast into a solid cylinder of height 8cm, find the diameter of the cylinder.
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volume of shell = (4/3) pi (5^3-3^3)
let the radius of the cylinder be r
volume of the cylinder=pi r^2 ×8
pi r^2 ×8 = (4/3)pi (5^3-3^3)
r^2= (4/3)(125-27)/8
r^2=98/6=49/3
r=7/√3=7√3/3
diameter= 14√3/3 Ans
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